Coarse graining the Bethe–Goldstone equation: Nucleon–nucleon high-momentum components

Simó, I. Ruiz; Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz

doi:10.1103/physrevc.96.054006

Cited by 5 publications

(29 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However in this simplified model, the precise dependence may not necessarily follow the exact form described by Eq. (49).…”

Section: Resultsmentioning

confidence: 99%

“…and Δφ h 1 h 2 ðpÞ is the relative wave function of ΔΦ h 1 h 2 . From the BG equation, it is given by [49] Δφ…”

Section: Fig 2 Scaling Function Of the Susam* Model (Green) Compared ...mentioning

confidence: 99%

“…In Ref. [49], the BG equation was solved for the particular case of backto-back nucleons, h 1 þ h 2 ¼ 0, moving along the z-axis in a multipole expansion with a potential V NN fitted to NN scattering data [50]. Although the computation seems feasible, incorporating the center of mass for particles moving in any direction requires careful consideration of various technical details.…”

Section: Fig 2 Scaling Function Of the Susam* Model (Green) Compared ...mentioning

confidence: 99%

“…[13] the two-body one-pion exchange operator is modified to include SRC via the Landau Migdal parameters. One effect of SRC is to provide high momentum components to nucleons due to the nuclear force at short distances [28,29,34,35]. This is being exploited to extract the number of SRC pairs from semi-inclusive and inclusive ðe; e 0 NNÞ reactions [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Extended superscaling with two-particle emission in electron and neutrino scattering

Amaro

et al. 2023

Phys. Rev. D

View full text Add to dashboard Cite

An extended superscaling analysis of quasielastic electron-scattering data is proposed by parametrizing the scaling function as the sum of a symmetric function corresponding to the emission of a single particle plus a contribution from the phase space of two-particle emission. The phase space of two-particle emission (2p2h) is multiplied by a q-dependent parameter that has been fitted to describe the tail behavior of the scaling function. This approach allows for an alternative description of the quasielastic electron scattering data, incorporating the contributions from both single-particle and two-particle emission processes induced by the one-body current and explaining the asymmetry of the scaling function. In a factorized schematic model based on the independent-pair approximation, the 2p2h parameter is related to the high-momentum distribution of the pair averaged over 2p2h excitations. However, in the phenomenological fitting approach undertaken here, this coefficient includes other contributions such as interference with two-body currents and effects of the final-state interactions. We present predictions for the inclusive two-nucleon emission cross section induced by electrons and neutrinos.

show abstract

“…However in this simplified model, the precise dependence may not necessarily follow the exact form described by Eq. (49).…”

Section: Resultsmentioning

confidence: 99%

“…and Δφ h 1 h 2 ðpÞ is the relative wave function of ΔΦ h 1 h 2 . From the BG equation, it is given by [49] Δφ…”

Section: Fig 2 Scaling Function Of the Susam* Model (Green) Compared ...mentioning

confidence: 99%

Section: Fig 2 Scaling Function Of the Susam* Model (Green) Compared ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Extended superscaling with two-particle emission in electron and neutrino scattering

Amaro

et al. 2023

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Our aim in this work is to extend our two previous papers [63,68] on the short-range correlations in the independent pair approximation picture [122] for the case when the total centerof-mass (CM) momentum of the nucleon pair is different from zero, K CM = 0, and to study its effect on the high-momentum components of the relative wave function in momentum space. To this end we make use of the coarse-grained Granada potential of Ref.…”

Section: Introductionmentioning

confidence: 99%

Center-of-mass momentum dependence of short-range correlations with the coarse-grained Granada potential

Casale,

Amaro,

Arriola

et al. 2023

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

The effect of the center-of-mass motion on the high-momentum distributions of correlated nucleon pairs is studied by solving the Bethe-Goldstone equation in nuclear matter with the Granada nucleon-nucleon potential. We show that this coarse-grained potential reduces the problem to an algebraic linear system of five (ten) equations for uncoupled (coupled) partial waves that can be easily solved. The corresponding relative wave functions of correlated pn, pp, and nn pairs are computed for different values of their center-of-mass (CM) momentum. We find that the pn pairs dominate the high-momentum tail of the relative momentum distribution, and that this only depends marginally on center-of-mass momentum. Our results provide further justification and agreement for the factorization approximation commonly used in the literature. This approximation assumes that the momentum distribution of nucleon pairs can be factorized as the product of the center-of-mass momentum distribution and the relative momentum distribution.

show abstract

Two-nucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation

et al. 2018

View full text Add to dashboard Cite

The theoretical formalism of inclusive lepton-nucleus scattering in the twonucleon emission channel is discussed in the context of a simplified approach, the modified convolution approximation. This allows one to write the 2p2h responses of the relativistic Fermi gas as a folding integral of two 1p1h responses with the energies and momenta transferred to each nucleon. The idea behind this method is to introduce different average momenta for the two initial nucleons in the matrix elements of the two-body current, with the innovation that they depend on the transferred energies and momenta. This method treats exactly the two-body phase space kinematics, and reduces the formulae of the response functions from seven-dimensional integrals over momenta to much simpler three-dimensional ones. The applicability of the method is checked by comparing with the full results within a model of electroweak meson-exchange currents. The predictions are accurate enough, especially in the low-energy threshold region where the average momentum approximation works the best.

show abstract

Coarse graining the Bethe–Goldstone equation: Nucleon–nucleon high-momentum components

Cited by 5 publications

References 75 publications

Extended superscaling with two-particle emission in electron and neutrino scattering

Extended superscaling with two-particle emission in electron and neutrino scattering

Center-of-mass momentum dependence of short-range correlations with the coarse-grained Granada potential

Two-nucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation

Contact Info

Product

Resources

About